The Mathematical Intelligencer

2005 - 2025

Current editor(s): Marjorie Senechal

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Volume 47, issue 1, 2025

Abelian Groups Are Easier pp. 1-1

Robert Dawson

Brouwer Vindicated by Neuroscience pp. 2-5

Victor Pambuccian

Sol LeWitt: The Lost Three-Part Variation and Other Math Puzzles pp. 6-12

Joseph Hathaway and Natasha Rozhkovskaya

An Interview with Susan Friedlander pp. 13-19

Karen Hunger Parshall and Sergei Tabachnikov

Why Three Estimates? pp. 20-23

David J. Aldous

Waiting for Gödel pp. 24-27

Colin Adams

What’s for Dessert? pp. 28-34

Tanya Khovanova and Daniel A. Klain

A Straightforward Proof of Heron’s Formula pp. 35-36

Paul Levrie

Two Moons in a Puddle pp. 37-38

Berk Ceylan

I Am the Zero pp. 39-39

Md Sadikur Rahman

Comparing $$a^b$$ a b and $$b^a$$ b a via Location of Zeros pp. 40-43

Nazrul Haque and Bikash Chakraborty

The Half-Burned Collegiate Algebra: College Cultures and Chance Preservation Edited by Jemma Lorenat pp. 44-51

Andrew Fiss

Books, Hallways, and Social Butterflies: A Note on Sliding Block Puzzles pp. 52-65

Florestan Brunck and Matthew Kwan

Borders and Circles: Josephine Mehlberg’s Mathematical Communities pp. 66-71

Marjorie Senechal

When Frieze Patterns Meet Y-Systems: Y-Frieze Patterns pp. 72-76

Antoine Saint Germain

The Mathematical Experience Museum: Breathing Life into Theorems and Formulas pp. 77-87

Jin Akiyama, Jude Buot and Mark Anthony Tolentino

Political Geometry: Rethinking Redistricting in the USA with Math, Law, and Everything in Between Edited by Moon Duchin and Olivia Walch pp. 89-91

Andrew Schultz

Origametry: Mathematical Methods in Paper Folding by Thomas Hull pp. 92-94

Joseph O’Rourke

The Mathematical Radio: Inside the Magic of AM, FM, and Single-Sideband by Paul J. Nahin pp. 95-96

Thomas A. Garrity

Radical Fiber: Threads Connecting Art and Science Edited by Rebecca McNamara pp. 97-99

Joshua Holden

Pop-Up Geometry: The Mathematics Behind Pop-Up Cards by Joseph O’Rourke pp. 100-101

Richard H. Hammack

Anniversaries: Copernicus pp. 102-102

Robin Wilson, Danuta Ciesielska and Krzysztof Ciesielski

Correction to: Biographie. Felix Hausdorff, Gesammelte Werke. Band IB. by Egbert Brieskorn and Walter Purkert pp. 103-103

Gert Schubring

Publisher Correction: An Even More Straightforward Proof of Descartes’s Circle Theorem pp. 104-104

Alden Bradford

Volume 46, issue 4, 2024

A Mausoleum Inspired by Mathematics pp. 305-305

Reza Farhadian

Crocheting Bour’s Minimal Surfaces pp. 306-312

Hanne Kekkonen

Ropes, Fractions, and Moduli Spaces pp. 313-320

Nick Salter

Associate Editor pp. 321-323

Colin Adams

A Sticker Album for Tilers (Collector’s Edition) pp. 324-330

Bojan Bašić and Anna Slivková

Visual Proof of Catalan’s Identity for the Fibonacci Numbers pp. 331-331

Nam Gu Heo

Modulation Graphs in Popular Music pp. 332-339

Jason I. Brown and Ian C. George

Einstein Proves the Mohr–Mascheroni Theorem pp. 340-346

Tilman Sauer

Simple Closed Geodesics on a Polyhedron pp. 347-354

Vladimir Yu. Protasov

π Newly Calculated: for Li Lan pp. 355-355

Yuan Changming

A Geometric Proof of the Polygonal Isoperimetric Inequality pp. 356-358

Beniamin Bogosel

Variations on a Theme by Aristotle (with a Little Help from Euler, Lagrange, Hamilton, and Pontryagin) pp. 359-365

Maxim Raginsky

Math Encounters in Pisa pp. 366-371

Ma. Louise Antonette N. Las Peñas

Heron Triangles and the Hunt for Unicorns pp. 372-377

Andrew N. W. Hone

AIM: Building and Supporting Collaborative Research Communities pp. 378-392

Brianna Donaldson, David Farmer, Sally Koutsoliotas and Michelle Manes

The Prosecution of Professor Chandler Davis: McCarthyism, Communism, and the Myth of Academic Freedom by Steve Batterson pp. 394-395

Marjorie Senechal

A Mathematician’s Apology by G. H. Hardy Cambridge University Press, first edition 1940, latest edition 2012, 154 pp., $17.99 An Applied Mathematician’s Apology by Lloyd N. Trefethen SIAM, 2022, 79 pp., $36.00 Mathematics Is the Poetry of Science by Cédric Villani Oxford University Press, 2020, 69 pp., $17.99 pp. 396-399

Andrew J. Simoson

Empire of the Sum: The Rise and Reign of the Pocket Calculator by Keith Houston pp. 400-402

John McCleary

Probably Overthinking It pp. 403-405

Lee Kennedy-Shaffer

Chinese Mathematics 3: The 20th Century pp. 406-406

Jinhai Liu and Robin Wilson

Volume 46, issue 3, 2024

Gödel’s Last Loop pp. 209-210

Fabio Acerbi

More on Fritz Noether: The Index pp. 211-212

Elias Wegert

Correction to: A Rolling Square Bridge: Reimagining the Wheel pp. 213-213

Alfred Jacquemot, Thomas Randall‑Page, Antonín Slavík and Stan Wagon

Fibonacci-Related Formulas for Pi pp. 214-221

Joseph Tonien

The Number of Prime Parking Functions pp. 222-224

Rui Duarte and António Guedes de Oliveira

You Need Insurance pp. 225-226

Colin Adams

Seven Proofs of Lexell’s Theorem: An Excursion into Spherical Geometry pp. 227-233

Hiroshi Maehara and Horst Martini

A Proof of Pollock’s Conjecture on Centered Nonagonal Numbers pp. 234-235

Miroslav Kureš

A Generalization of de Gua’s Theorem with a Vector Proof pp. 236-238

Quang Hung Tran

Sperner via Vandermonde pp. 239-242

Richard Ehrenborg

Cardioid Reviewed for Helena Qi Hong pp. 243-243

Yuan Changming

An Interview with Efim Zelmanov pp. 244-246

Karen Hunger Parshall and Sergei Tabachnikov

On Equilibria of Tetrahedra pp. 247-254

Gergő Almádi, Robert J. MacG. Dawson, Gábor Domokos and Krisztina Regős

The Archimedean Cuboctahedron: A Medieval Journey from the Middle East to Northern Russia pp. 255-259

Andrey Yu. Chernov and Eugene A. Katz

The Magic Permutohedron pp. 260-263

Djordje Baralić and Lazar Milenković

Conway and Doyle Can Divide by Three, But I Can’t pp. 264-268

Patrick Lutz

Sequences with Nontrivial Sums: Algebra Meets Magic pp. 269-274

Ehrhard Behrends

Jim Simons, Community Builder pp. 275-278

Marjorie Senechal

Variations on the Two-Child Problem pp. 279-284

Christoph Börgers and Samer Nour Eddine

A Short ODE Proof of the Fundamental Theorem of Algebra pp. 285-286

Ramona Anton, Nicolae Mihalache and François Vigneron

The New Era in American Mathematics, 1920–1950 pp. 288-289

Ellen Abrams

Émile Borel: A Life in Mathematics and Politics Across Two Centuries by Pierre Guiraldenq Translated by Arturo Sangalli pp. 290-293

David M. Bressoud

Do Not Erase: Mathematicians and Their Chalkboards pp. 294-296

Johan Stén

Excursions in Number Theory, Algebra, and Analysis By Kenneth Ireland and Al Cuoco pp. 297-299

Paul Pollack

The Counterfeit Countess: The Jewish Mathematician Who Rescued Thousands of Poles During the Holocaust pp. 300-301

Pamela Gorkin

Chinese Mathematics 2: Early Mathematicians pp. 302-303

Jinhai Liu and Robin Wilson

Volume 46, issue 2, 2024

The Volume of a Reversible Tetrahedron pp. 101-101

Martin Lukarevski

On the Origins of Cantor’s Paradox: What Hilbert Left Unsaid at the 1900 ICM in Paris pp. 102-116

David E. Rowe

A Bayesian Treatment of the German Tank Problem pp. 117-127

Cory M. Simon

Corrigenda pp. 128-129

Colin Adams

Transcendere: A Visual Metaphor for Research in Transcendental Number Theory pp. 130-132

Nathan Green and Grace Grothaus

Proof Without Words: Inversion Number of Binary Words pp. 133-134

N. Uday Kiran

Turning Conics into Beans: Introducing the Haricoids pp. 135-140

Raymond Mortini

Ptolemy’s Almagest in Poetry and Collage pp. 141-144

Sarah Glaz and Mark Sanders

Swimming in Data pp. 145-155

Katherine Douglass, Augustus Lamb, Jerry Lu, Ken Ono and William Tenpas

“The Bedrock of Logical Thought”: Mathematics on the Television in 1957 pp. 156-163

Karen Hunger Parshall

Unexpected Utility Paradoxes pp. 164-170

Yuliy Baryshnikov

A Rolling Square Bridge: Reimagining the Wheel pp. 171-182

Alfred Jacquemot, Thomas Randall-Page, Antonín Slavík and Stan Wagon

On the Three-Distance Theorem pp. 183-188

Valérie Berthé and Christophe Reutenauer

Oxford’s History of Mathematics Forum: The First Two Decades pp. 189-193

Christopher Hollings and Robin Wilson

Vito Volterra by Angelo Guerraggio and Giovanni Paoloni Reviewed by Stefano Gattei; Franco Muzzio, 2008, 243 pp. €18. English translation by Kim Williams, Springer, 2012, 187 pp, €31.19 pp. 195-198

Stefano Gattei

What’s the Use? The Unreasonable Effectiveness of Mathematics by Ian Stewart pp. 199-201

Firdous Ahmad Mala

The Story of Proof: Logic and the History of Mathematics by John Stillwell pp. 202-204

Alexi Block Gorman

The International Commission on Mathematical Instruction, 1908–2008: People, Events, and Challenges in Mathematics Education pp. 205-207

Judith Goodstein

Chinese Mathematics 1: Counting and Measuring pp. 208-208

Jinhai Liu and Robin Wilson

Volume 46, issue 1, 2024

Correction to: A Closed-Form Solution to the Geometric Goat Problem pp. 1-1

Ingo Ullisch

A Look at a Dictionary That Became an Encyclopedia pp. 2-2

Biserka Kolarec

The Winning Move for Cutting Corners pp. 3-8

Jindřich Michalik

Differential Geometry of Space Curves: Forgotten Chapters pp. 9-21

Dmitry Fuchs, Ivan Izmestiev, Matteo Raffaelli, Gudrun Szewieczek and Serge Tabachnikov

Out to Pasture pp. 22-24

Colin Adams

Geometric Construction of Pythagorean and Just Musical Scales and Commas pp. 25-31

Børre Nyhoff, Alv I. Aarskog and Sverre Holm

The Sequence of Proof pp. 32-32

Lowell Abrams

The Never-Ending Happiness of Paul Erdős’s Mathematics pp. 33-41

Veselin Jungić

Regular Dodecagon Quadrature with Pattern Blocks Manipulatives pp. 42-45

Günhan Caglayan

The Entry Sum of the Inverse Cauchy Matrix pp. 46-48

Darij Grinberg

“When in Rome...”: Marie Litzinger’s Letters Home, 1923–1924 pp. 49-56

Jemma Lorenat

Why Did Thomas Harriot Invent Binary? pp. 57-62

Lloyd Strickland

Remembering Fritz Noether in the Town of Gengenbach pp. 63-69

David E. Rowe

My Favorite Mathematical Stamps: 40 Years of Intelligencer Stamp Corners pp. 70-77

Robin Wilson

From Boxes to Polynomials: A Story of Generalization pp. 78-84

Gypsy Akhyar, Yifan Guo and Lihexuan Yuan

The Courant Institute Geometry Seminar: A Vibrant Community pp. 85-88

Joseph Malkevitch

Enigmes mathématiques au temps de Charlemagne by Jérome Gavin and Philippe Genequand pp. 90-91

Albrecht Heeffer

Sämtliche Gedichte [Collected Poems], second revised and enlarged edition by Johannes Kepler edited and annotated by Friedrich Seck translations from Latin to German by Monika Balzert pp. 92-95

Hans-Joachim Albinus and Detlef Suckrau

Geometric Foundations of Design: Old and New pp. 96-97

Đorđe Baralić

Magic Squares pp. 98-99

Robin Wilson